A particle with mass mA is struck head-on by another particle with mass mB that is initially moving at speed v0. The collision is elastic. (a) What percentage of the original energy does each particle have after the collision? (b) For what values, if any, of the mass ratio mA/mB is the original kinetic energy shared equally by the two particles after the collision?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.23P
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A particle with mass mA is struck head-on by another particle with mass mB that is initially moving at speed v0. The collision is elastic.

(a) What percentage of the original energy does each particle have after the collision?

(b) For what values, if any, of the mass ratio mA/mB is the original kinetic energy shared equally by the two particles after the collision?

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